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Finding the Fourth Proportional to 422.04, 632.90 and 190.84

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Solution

The fourth proportional to 422.04, 632.90 and 190.84 is: 286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.04 : 632.90 = 190.84 : x
  2. Step 2: Convert to fraction form
    422.04/632.90 = 190.84/x
  3. Step 3: Cross multiply
    422.04x = 632.90 × 190.84
  4. Step 4: Simplify right side
    422.04x = 120,782.64
  5. Step 5: Solve for x
    x = 120,782.64/422.04
  6. Step 6: Final answer
    x = 286.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.